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Popular >

foci-x^2+3x

Solution

foci

- x^{2} + 3 x

Solution

(\frac{3}{2}, 2)

Solution steps

Rewrite

y = - x^{2} + 3 x

in the standard form

4 (- \frac{1}{4}) (y - \frac{9}{4}) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, \frac{9}{4}), p = - \frac{1}{4}

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(\frac{3}{2}, \frac{9}{4})

along the y-axis

(\frac{3}{2}, \frac{9}{4} + p)

= (\frac{3}{2}, \frac{9}{4} + (- \frac{1}{4}))

Refine

(\frac{3}{2}, 2)

Popular Examples

foci y=4x^2+8x-11 foci

y = 4 x^{2} + 8 x - 11

foci y=-x^2+64x-292 foci

y = - x^{2} + 64 x - 292

foci y=x^2-12x+5 foci

y = x^{2} - 12 x + 5

foci y=-2x+x(x-2)-2x(x-1)-(x-3)foci

y = - 2 x + x (x - 2) - 2 x (x - 1) - (x - 3)

foci (y-2)^2=8(x-1)foci

(y - 2)^{2} = 8 (x - 1)

Frequently Asked Questions (FAQ)

What is the foci-x^2+3x ?
The foci-x^2+3x is (3/2 ,2)